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13 Feb 2013, 05:13

2

This post receivedKUDOS

Is |x|<1 1)X^4 -1 >0 2) 1/ 1-|x| >0

Question stem asks whether Is -1<x<1Statement 1-\(X^4\) -1 >0 ------>\(X^4\) >1----> In order for this to be true x must be either greater than 1 or less than -1 i.e. x>1 or x<-1 In other words x does not fall in the range -1 to 1Thus Sufficient

Statement 2 - 1/ 1-|x| >0LHS is greater than 0 i.e. (any Positive number). Becuase the Numerator is positive Denominator has to be positive as wellDenominator = 1- |x|In order to keep the Denominator positive, the Absolute value of x < Absolute value of 1i.e. x range between -1 to 1.Thus sufficient.

I hope this explanation helps.By the way, this is a very POOR quality question as both options give two different answers.

Fame

guerrero25 wrote:

Thanks for the explanation , Can we not have consistent answers to conclude that 1 & 2 independently are true?Please clarify ..

Hi Guerrero,

That's possible logically but GMAT does not consider the same PRUDENT as you can observe that none of OG questions has two different answers.

Fame
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Last edited by fameatop on 13 Feb 2013, 09:15, edited 2 times in total.

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13 Feb 2013, 06:37

2

This post receivedKUDOS

fameatop wrote:

Is |x|<1 1)X^4 -1 >0 2) 1/ 1-|x| >0

Question stem asks whether Is -1<x<1Statement 1-\(X^4\) -1 >0 ------>\(X^4\) >1----> In order for this to be true x must be either greater than 1 or less than -1 i.e. x>1 or x<-1 In other words x does not fall in the range -1 to 1Thus Sufficient

Statement 2 - 1/ 1-|x| >0LHS is greater than 0 i.e. (any Positive number). Becuase the Numerator is positive Denominator has to be positive as wellDenominator = 1- |x|In order to keep the Denominator positive, the Absolute value of x < Absolute value of 1i.e. x range between -1 to 1.Thus sufficient.

I hope this explanation helps.By the way, this is a very POOR quality question as both options give two different answers.

Fame

Thanks for the explanation , Can we not have consistent answers to conclude that 1 & 2 independently are true?

1) False for all the conditions ( taking |2| & |-2| both satisfy the condition )

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13 Feb 2013, 07:02

fameatop wrote:

Is |x|<1 1)X^4 -1 >0 2) 1/ 1-|x| >0

Question stem asks whether Is -1<x<1Statement 1-\(X^4\) -1 >0 ------>\(X^4\) >1----> In order for this to be true x must be either greater than 1 or less than -1 i.e. x>1 or x<-1 In other words x does not fall in the range -1 to 1Thus Sufficient

Statement 2 - 1/ 1-|x| >0LHS is greater than 0 i.e. (any Positive number). Becuase the Numerator is positive Denominator has to be positive as wellDenominator = 1- |x|In order to keep the Denominator positive, the Absolute value of x < Absolute value of 1i.e. x range between -1 to 1.Thus sufficient.

I hope this explanation helps.By the way, this is a very POOR quality question as both options give two different answers.